Arithmetic vs. Geometric

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common difference in the sequence: 5, 9, 13, ...

Back

The common difference is 4.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common ratio in the sequence: 2, 6, 18, ...

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: 97, 86, 75, 64, ...

Back

The common difference is -11.

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio in the sequence: -2, 4, -8, 16, ...

Back

The common ratio is -2.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the geometric sequence: 512, 256, 128, ...?

Back

The next three terms are 64, 32, 16.

Tags

CCSS.HSF.BF.A.2

Front

What is the difference between arithmetic and geometric sequences?

Back

Arithmetic sequences have a constant difference between terms, while geometric sequences have a constant ratio.

Tags

CCSS.HSF.BF.A.2